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Sonbull [250]
3 years ago
13

Apond contains 100 fish, ofwhich 30 are carp. If 20 fish are caught, what are the mean and variance of the number of carp among

the 20? What assumptions are you making?
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Total fish = 100

Carp = 30

Number of fish caught = 20

The random variable X follows hyper-geometric distribution.

Mean = 30 *20 / 100 = 600/100 = 6

Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)

Variance = 600/100 * 56/99

Variance = 112/33

Assumptions: Is that X follows hyper-geometric distribution with the given information.

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Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. after 3 hours, only 40 mg remain. find an exponential m
Anastaziya [24]
The equation will be of the form:
A(t)= A_{0} e^{rt}
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To find the value of r, we plug the given values into the equation, giving:
40=320e^{3r}
Rearranging and taking natural logs of both sides, we get:
ln\ 0.125=3r
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The required model is:
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3 0
3 years ago
A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each,
Lilit [14]

Answer:

Step-by-step explanation:

First, note this parameters from the question.

We let x = number of $5 increases and number of 10 decreases in plates sold.

Our Revenue equation is:

R(x) = (300-10x)(10+5x)

We expand the above equation into a quadratic equation by multiplying each bracket:

R(x) = 3000 + 1500x - 3000x - 1500x^2

R(x) = -1500x^2 - 1500x + 3000 (collect like terms)

Next we simplify, by dividing through by -1500

= 1500x^2/1500 - 1500x/1500 + 3000/1500

= X^2 - x + 2

X^2 - x + 2 = 0

Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1

X = - (-1)/2*1

X = 1/2

Number of $5 increases = $5x1/2 = $2.5

=$2.5 + $20 = $22.5 ticket price gives max revenue.

7 0
3 years ago
How you solve 7p+9=81
Burka [1]
Try and get the variable by its self by -81 from both sides then divide it by 7 and get ur answer.

7 0
3 years ago
Read 2 more answers
Chapter 9 TRP 9-1 Assume the taxpayer does NOT wish to contribute to the Presidential Election Fund, unless otherwise stated in
insens350 [35]

Answer:

Chapter 9 TRP 9-1

Assume the taxpayer does NOT wish to contribute to the Presidential Election Fund, unless otherwise stated in the problem.

 

Assume all taxpayers did NOT receive, sell, send, exchange, or otherwise acquire any financial interest in any virtual currency during the year.

 

Juliette White is a head of household taxpayer with a daughter named Sabrina. They live at 1009 Olinda Terrace, Apartment 5B, Reno, NV 78887. Juliette works at a local law firm, Law Offices of Dane Gray, and attends school in the evenings at Reno Community College (RCC). She is taking some general classes and is not sure what degree she wants to pursue yet. She is taking three units this semester. Full-time status at RCC is nine units. Juliette’s mother watches Sabrina after school and in the evenings (no charge) so that Juliette can work and take classes at RCC. Social security numbers are 412-34-5670 for Juliette and 412-34-5672 for Sabrina. Their birth dates are as follows: Juliette, 10/31/1988; and Sabrina, 3/1/2013.

The Form W-2 Juliette received from the Law Offices of Dane Gray contained the following information:

 

Wages (box 1) = $ 29,502.30

Federal W/H (box 2) = $ 1,007.14

Social security wages (box 3) = $ 29,502.30

Social security W/H (box 4) = $ 1,829.14

Medicare wages (box 5) = $ 29,502.30

Medicare W/H (box 6) = $ 427.78

 

Juliette also had the following expenses:

Education expenses:  

Tuition for Reno Community College $ 775

 

Prepare Juliette’s federal tax return. Use Form 1040 and any additional appropriate schedules or forms she may need for credits. For any missing information, make reasonable assumptions. (Input all the values as positive numbers. Instructions can be found on certain cells within the forms. Round your final answers to the nearest whole dollar amount. Do not skip rows, while entering in Dependents section of Form 1040 PG1.)

 

Use the appropriate Tax Tables and EIC table.

 

rev: 03_17_2021_QC_CS-257838

Step-by-step explanation:

4 0
2 years ago
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chubhunter [2.5K]

Answer: 1 11/16

Step-by-step explanation:

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3 years ago
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